Results 41 to 50 of about 592 (89)

Global periodic solutions in a plankton-fish interaction model with toxication delay

open access: yesNonlinear Engineering, 2018
In this paper, a plankton-fish interaction model is proposed and analyzed with the help of delay differential equations. Firstly, the elementary dynamical properties of the system in the absence of time delay is discussed.
Sharma Amit
doaj   +1 more source

The spin-orbit resonances of the Solar system: A mathematical treatment matching physical data

open access: yes, 2013
In the mathematical framework of a restricted, slightly dissipative spin-orbit model, we prove the existence of periodic orbits for astronomical parameter values corresponding to all satellites of the Solar system observed in exact spin-orbit ...
Antognini, Francesco   +2 more
core   +1 more source

Global structure of positive and sign-changing periodic solutions for the equations with Minkowski-curvature operator

open access: yesAdvanced Nonlinear Studies
We show the existence of unbounded connected components of 2π-periodic positive solutions for the equations with one-dimensional Minkowski-curvature operator −u′1−u′2′=λa(x)f(u,u′),x∈R, $-{\left(\frac{{u}^{\prime }}{\sqrt{1-{u}^{\prime 2}}}\right ...
Ma Ruyun, Zhao Zhongzi, Su Xiaoxiao
doaj   +1 more source

The generic unfolding of a codimension-two connection to a two-fold singularity of planar Filippov systems

open access: yes, 2017
Generic bifurcation theory was classically well developed for smooth differential systems, establishing results for $k$-parameter families of planar vector fields.
Novaes, Douglas Duarte   +2 more
core   +1 more source

On the period function of Newtonian systems [PDF]

open access: yes, 2013
We study the existence of centers of planar autonomous system of the form $$(S) \quad \dot x=y,\qquad \dot y = -h(x) - g(x)y - f(x)y^2.$$ We are interested in the period function $T$ around a center 0. A sufficient condition for the isochronicity of (
Chouikha, A. Raouf, Timoumi, Mohsen
core   +1 more source

A center manifold for second order semilinear differential equations on the real line and applications to the existence of wave trains for the Gurtin–McCamy equation

open access: yesTransactions of the American Mathematical Society, 2019
This work is mainly motivated by the study of periodic wave train solutions for the so-called Gurtin-McCamy equation. To that aim we construct a smooth center manifold for a rather general class of abstract second order semi-linear differential equations
A. Ducrot, Pierre Magal
semanticscholar   +1 more source

Global bifurcation of homoclinic solutions of hamiltonian systems

open access: yes, 2002
We provide global bifurcation results for a class of nonlinear hamiltonian systemsComment: 25 ...
Secchi, S., Stuart, C. A.
core   +1 more source

Bifurcation analysis of a nonlinear diffusion model: Effect of evaluation period for the diffusion of a technology

open access: yesArab Journal of Mathematical Sciences, 2019
A nonlinear modified form of Bass model involving the interactions of non-adopter and adopter populations has been proposed to describe the process of diffusion of a new technology in the presence of evaluation period (time delay).
Rakesh Kumar   +2 more
doaj   +1 more source

Complete polynomial vector fields in simplexes with application to evolutionary dynamics.

open access: yes, 2004
We describe the complete polynomial vector elds and their xed points in a nite-dimensional simplex and we apply the results to dieren tial equations of genetical evolution models. AMS Classication. Primary: 34C07 , secondary: 34C23, 37Cxx.
N. Yousif
semanticscholar   +1 more source

Impact of migration on epidemiological dynamics with saturated incidence rate

open access: yes, 2018
Recently an SIS epidemic reaction-diffusion model with Neumann (or no-flux) boundary condition has been proposed and studied by several authors to understand the dynamics of disease transmission in a spatially heterogeneous environment in which the ...
A. Al-Qahtani, S. Aly, Fatma Hussien
semanticscholar   +1 more source

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